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253040342324 = 2271110116374969
BaseRepresentation
bin1110101110101001100…
…0010011010100110100
3220012010211001020201112
43223222120103110310
513121211311423244
6312124540414152
724165401264360
oct3535230232464
9805124036645
10253040342324
119834a749460
124105a847358
131ab27c29a13
14c36651a2a0
1568aebcb39e
hex3aea613534

253040342324 has 96 divisors (see below), whose sum is σ = 558007107840. Its totient is φ = 97531776000.

The previous prime is 253040342311. The next prime is 253040342329. The reversal of 253040342324 is 423243040352.

253040342324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253040342329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50921312 + ... + 50926280.

It is an arithmetic number, because the mean of its divisors is an integer number (5812574040).

Almost surely, 2253040342324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253040342324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279003553920).

253040342324 is an abundant number, since it is smaller than the sum of its proper divisors (304966765516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253040342324 is a wasteful number, since it uses less digits than its factorization.

253040342324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 253040342324 its reverse (423243040352), we get a palindrome (676283382676).

The spelling of 253040342324 in words is "two hundred fifty-three billion, forty million, three hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 1111 1414 1637 2222 2828 3274 4444 4969 6548 7777 9938 11459 15554 18007 19876 22918 31108 34783 36014 45836 54659 69566 72028 109318 126049 139132 165337 218636 252098 330674 382613 501869 504196 661348 765226 1003738 1157359 1530452 1818707 2007476 2314718 3513083 3637414 4629436 5520559 7026166 7274828 8134253 11041118 12730949 14052332 16268506 22082236 25461898 32537012 38643913 50923796 56939771 77287826 89476783 113879542 154575652 178953566 227759084 357907132 626337481 821559553 1252674962 1643119106 2505349924 3286238212 5750916871 9037155083 11501833742 18074310166 23003667484 36148620332 63260085581 126520171162 253040342324